D_{s1}^{*}(2710) and D_{sJ}^{*}(2860) in the U~(12)*O(3,1)-scheme

TL;DR

This paper employs a novel U(12)*O(3,1) classification scheme with an SU(2)_{ ho} degree of freedom to analyze charmed-strange mesons, explaining some states as chiralons and highlighting discrepancies for others.

Contribution

It introduces the U(12)*O(3,1) scheme with chiralons for classifying charmed-strange mesons, providing new insights into their decay properties and state assignments.

Findings

D_{s0}^{*}(2317) and D_{s1}(2460) are described as chiralons.

D_{s1}^{*}(2710) is explained as a vector chiralon.

D_{sJ}^{*}(2860) does not fit the predicted properties of the model.

Abstract

In order to classify the charmed-strange mesons, including puzzling D_{s0}^{*}(2317) and D_{s1}(2460), and recently observed D_{s1}^{*}(2710) and D_{sJ}^{*}(2860), we employ the U~(12)*O(3,1) level-classification scheme of hadrons proposed and developed by us in recent years. The scheme has a new degree of freedom, SU(2)_{\rho}, which leads to a number of extra states out of conventional SU(6)-scheme, named chiralons. Applying this novel classification scheme, we investigate the strong decays of S- and P-wave c\bar{s} mesons with one pseudoscalar emission by using the covariant oscillator quark model. As a result it is shown that D_{s0}^{*}(2317) and D_{s1}(2460) are described as {}^{1}S_{0}^{\chi} and {}^{3}S_{1}^{\chi} chiralons, forming the SU(2)_{\rho} doublet with the ground-state D_{s}^{} and D_{s}^{*}, respectively. Furthermore, the observed decay properties of D_{s1}^{*}(2710) is consistently explained as the vector chiralon {}^{1}P_{1}^{\chi}. On the other hand, it is also found that the controversial narrow state, D_{sJ}^{*}(2860), does not fit as predicted properties of our P-wave vector chiralon.